×

zbMATH — the first resource for mathematics

On an invariant of the algebra \(W_ n\). (English. Russian original) Zbl 0744.17006
Sov. Math. 35, No. 10, 36-38 (1991); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1991, No. 10(353), 40-42 (1991).
The author gives a construction of central elements in the universal enveloping algebra \(U(W_ n)\) and gives some information about the central elements in the restricted universal involving algebra where \(W_ n\) consists of the derivations \(f\partial_ i\), \(f\in k[x_ 1,\ldots,x_ n]/I\), \(k\) is a field of characteristic \(p>0\) and \(I\) is the ideal which is generated by the polynomials \((x_ i^ p-1)\), \(i=1,\ldots,n\).
MSC:
17B35 Universal enveloping (super)algebras
17B50 Modular Lie (super)algebras
PDF BibTeX XML Cite